### Abstract

We provide a fully covariant expression for the diffeomorphic charge in four-dimensional anti-de Sitter gravity, when the Gauss-Bonnet and Pontryagin terms are added to the action. The couplings of these topological invariants are such that the Weyl tensor and its dual appear in the on-shell variation of the action and such that the action is stationary for asymptotic (anti-)self-dual solutions in the Weyl tensor. In analogy with Euclidean electromagnetism, whenever the self-duality condition is global, both the action and the total charge are identically vanishing. Therefore, for such configurations, the magnetic mass equals the Ashtekhar-Magnon-Das definition.

Original language | English |
---|---|

Article number | 084022 |

Journal | Physical Review D |

Volume | 93 |

Issue number | 8 |

DOIs | |

Publication status | Published - 13 Apr 2016 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*93*(8), [084022]. https://doi.org/10.1103/PhysRevD.93.084022

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*Physical Review D*, vol. 93, no. 8, 084022. https://doi.org/10.1103/PhysRevD.93.084022

**Magnetic mass in 4D AdS gravity.** / Araneda, René; Aros, Rodrigo; Miskovic, Olivera; Olea, Rodrigo.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Magnetic mass in 4D AdS gravity

AU - Araneda, René

AU - Aros, Rodrigo

AU - Miskovic, Olivera

AU - Olea, Rodrigo

PY - 2016/4/13

Y1 - 2016/4/13

N2 - We provide a fully covariant expression for the diffeomorphic charge in four-dimensional anti-de Sitter gravity, when the Gauss-Bonnet and Pontryagin terms are added to the action. The couplings of these topological invariants are such that the Weyl tensor and its dual appear in the on-shell variation of the action and such that the action is stationary for asymptotic (anti-)self-dual solutions in the Weyl tensor. In analogy with Euclidean electromagnetism, whenever the self-duality condition is global, both the action and the total charge are identically vanishing. Therefore, for such configurations, the magnetic mass equals the Ashtekhar-Magnon-Das definition.

AB - We provide a fully covariant expression for the diffeomorphic charge in four-dimensional anti-de Sitter gravity, when the Gauss-Bonnet and Pontryagin terms are added to the action. The couplings of these topological invariants are such that the Weyl tensor and its dual appear in the on-shell variation of the action and such that the action is stationary for asymptotic (anti-)self-dual solutions in the Weyl tensor. In analogy with Euclidean electromagnetism, whenever the self-duality condition is global, both the action and the total charge are identically vanishing. Therefore, for such configurations, the magnetic mass equals the Ashtekhar-Magnon-Das definition.

UR - http://www.scopus.com/inward/record.url?scp=84963730486&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.93.084022

DO - 10.1103/PhysRevD.93.084022

M3 - Article

VL - 93

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 8

M1 - 084022

ER -